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Step * 1 of Lemma lookup-list-map-isEmpty-prop


1. Key : Type
2. Value : Type
3. deqKey : EqDecider(Key)
⊢ ↑lookup-list-map-isEmpty([]) ⇐⇒ ∀k:Key. (¬↑lookup-list-map-inDom(deqKey;k;[]))
BY
{ (RepUR ``lookup-list-map-isEmpty lookup-list-map-inDom`` 0 THEN Auto) }

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Latex:

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Latex:

1.  Key  :  Type
2.  Value  :  Type
3.  deqKey  :  EqDecider(Key)
\mvdash{}  \muparrow{}lookup-list-map-isEmpty([])  \mLeftarrow{}{}\mRightarrow{}  \mforall{}k:Key.  (\mneg{}\muparrow{}lookup-list-map-inDom(deqKey;k;[]))


By

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Latex:
(RepUR  ``lookup-list-map-isEmpty  lookup-list-map-inDom``  0  THEN  Auto)

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